§ 34: 34.14

34.14 Обчисліть:

1) lim2x- 3x3x- 2x = lim2x- 3x(3x+ 2x)3x- 2x(3x+ 2x) = lim6x+4x x- 9xx- 6x29x-4x2

x→0 x→0 x→0

= lim6x-5xx- 6x2x(9-4x) = limx(6-5x- 6x)x(9-4x) = lim6x-5xx- 6x9-4x = 69 = 23;

x→0 x→0 x→0

2) lim x-11- x = lim x- 1(1+ 3)1- x = lim(–x – 1) = –2;

x→1 x→1 x→1

3) lim3x- 1x- 1 = lim6x- 1(6x+ 1)6x- 1(3x+ 6x+ 1) = lim6x+ 13x+ 6x+ 1 = 1+11+1+1 =

x→1 x→1 x→1

23.